Sparse grids are numerical techniques to represent, integrate or interpolate high dimensional functions. They were originally developed by the Russian mathematician , a student of Lazar Lyusternik, and are based on a sparse tensor product construction. Computer algorithms for efficient implementations of such grids were later developed by Michael Griebel and Christoph Zenger. (Wikipedia).
Exploring an amazing pattern that forms when we multiply numbers built only with the one digit
From playlist Number Patterns
Source code repository: https://github.com/williamfiset/algorithms Video slides: https://github.com/williamfiset/algorithms/tree/master/slides Website: http://www.williamfiset.com =================================== Practicing for interviews? I have used, and recommend `Cracking the Cod
From playlist Data structures playlist
Grid Network - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
Sparse Expert Models (Switch Transformers, GLAM, and more... w/ the Authors)
#nlp #sparsity #transformers This video is an interview with Barret Zoph and William Fedus of Google Brain about Sparse Expert Models. Sparse Expert models have been hugely successful at distributing parts of models, mostly Transformers, across large array of machines and use a routing fu
From playlist Deep Learning Architectures
The sporadic nature of big numbers | Data Structures in Mathematics Math Foundations 176
In this video we derive a fundamental but destabilizing fact about natural numbers: that almost everything we know about arithmetic with natural numbers starts to break down as we proceed to investigate bigger and bigger numbers. By studying complexity and making some estimates using count
From playlist Math Foundations
Abundant, Deficient, and Perfect Numbers ← number theory ← axioms
Integers vary wildly in how "divisible" they are. One way to measure divisibility is to add all the divisors. This leads to 3 categories of whole numbers: abundant, deficient, and perfect numbers. We show there are an infinite number of abundant and deficient numbers, and then talk abou
From playlist Number Theory
Data Structures: Arrays vs Linked Lists
See complete series on data structures here: https://www.youtube.com/playlist?list=PL2_aWCzGMAwI3W_JlcBbtYTwiQSsOTa6P In this lesson we will compare arrays with linked lists based on various parameters and understand the cost of various operations with these data structures. Lessons on bi
From playlist Data structures
Isolated Vertex - Graph Theory
Example and explanation of an isolated vertex
From playlist Graph Theory
Mod-01 Lec-13 Solving ODE - BVPs and PDEs Using Finite Difference Method
Advanced Numerical Analysis by Prof. Sachin C. Patwardhan,Department of Chemical Engineering,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Bombay: Advanced Numerical Analysis | CosmoLearning.org
Live CEOing Ep 294: Language Design in Wolfram Language
Watch Stephen Wolfram and teams of developers in a live, working, language design meeting. This episode is about Language Design in the Wolfram Language.
From playlist Behind the Scenes in Real-Life Software Design
Mod-01 Lec-14 Finite Difference Method (contd.) and Polynomial Interpolations
Advanced Numerical Analysis by Prof. Sachin C. Patwardhan,Department of Chemical Engineering,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Bombay: Advanced Numerical Analysis | CosmoLearning.org
Maria Charina: Algebraic multigrid and subdivision
Abstract: Multigrid is an iterative method for solving large linear systems of equations whose Toeplitz system matrix is positive definite. One of the crucial steps of any Multigrid method is based on multivariate subdivision. We derive sufficient conditions for convergence and optimality
From playlist Numerical Analysis and Scientific Computing
Structured Regularization Summer School - C. Fernandez-Granda - 20/06/2017
Carlos Fernandez-Granda (NYU): A sampling theorem for robust deconvolution Abstract: In the 70s and 80s geophysicists proposed using l1-norm regularization for deconvolution problem in the context of reflection seismology. Since then such methods have had a great impact in high-dimensiona
From playlist Structured Regularization Summer School - 19-22/06/2017
Advanced Programming with the Wolfram Compiler
The Wolfram Compiler is a long-term project for the compilation of Wolfram Language programs. It converts Wolfram Language into native machine code and provides a faster execution path as well as many opportunities for innovative programming features. It is used for an increasing amount of
From playlist Wolfram Technology Conference 2021
Lec 16 | MIT 18.086 Mathematical Methods for Engineers II
General Methods for Sparse Systems View the complete course at: http://ocw.mit.edu/18-086S06 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 18.086 Mathematical Methods for Engineers II, Spring '06
Andreas Mueller - Machine Learning with Scikit-Learn
PyData Amsterdam 2016 Description Scikit-learn has emerged as one of the most popular open source machine learning toolkits, now widely used in academia and industry. scikit-learn provides easy-to-use interfaces to perform advances analysis and build powerful predictive models. The tutor
From playlist talks
On support localisation, the Fisher metric and optimal sampling .. - Poon - Workshop 1 - CEB T1 2019
Poon (University of Bath/Cambridge) / 06.02.2019 On support localisation, the Fisher metric and optimal sampling in off-the-grid sparse regularisation Sparse regularization is a central technique for both machine learning and imaging sciences. Existing performance guarantees assume a se
From playlist 2019 - T1 - The Mathematics of Imaging
Sparse matrices in sparse analysis - Anna Gilbert
Members' Seminar Topic: Sparse matrices in sparse analysis Speaker: Anna Gilbert Affiliation: University of Michigan; Member, School of Mathematics Date: October 28, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics